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4th Edition

Richard N. Aufmann + 3 others

Publisher: Cengage Learning

ISBN: 9781305965584

Chapter 5, Problem 10T

Textbook Problem

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Map Coloring A fictional map of the countries of a continent is shown below.

a. Represent the map by a graph in which the vertices correspond to countries and the edges indicate which countries share a common border.

b. What is the chromatic number of your graph?

c. Use your work from part b to color the countries of the map with the fewest colors possible so that no two neighboring countries share the same color.

To determine

**(a)**

**To represent:**

The map by a graph that shares a common border

**Given:**

Fictional map of the countries of a continent

**Calculation:**

First draw a vertex in each country and then connect two vertices with an edge if the corresponding countries are neighbours...

To determine

**(b)**

Chromatic Number of the graph

To determine

**(c)**

**To show:**

two neighbouring countries don't share the same colour

Mathematical Excursions (MindTap Course List)

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